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    Question

    How many factors of 23 Γ— 33 Γ—

    54 Γ—91Γ— is divisible by 50 but not by 100?
    A 24 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 36 Correct Answer Incorrect Answer

    Solution

    50=52Γ—2 100=52Γ—22 23 Γ— 33 Γ— 54 Γ— 91 =52Γ—2(22Γ—52Γ—33Γ—91) =52Γ—33Γ—91 Total factor=3Γ—4Γ—2 =24.

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